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422303200 = 255211371297
BaseRepresentation
bin11001001010111…
…101010111100000
31002102122020002021
4121022331113200
51331102200300
6105523231224
713315342444
oct3112752740
91072566067
10422303200
111a7419710
12b9518514
1369650167
144012c824
152711bd1a
hex192bd5e0

422303200 has 144 divisors (see below), whose sum is σ = 1155957264. Its totient is φ = 149299200.

The previous prime is 422303197. The next prime is 422303257. The reversal of 422303200 is 2303224.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324952 + ... + 326248.

It is an arithmetic number, because the mean of its divisors is an integer number (8027481).

Almost surely, 2422303200 is an apocalyptic number.

422303200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577978632).

422303200 is an abundant number, since it is smaller than the sum of its proper divisors (733654064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422303200 is a wasteful number, since it uses less digits than its factorization.

422303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 422303200 is about 20550.0170316231. The cubic root of 422303200 is about 750.2536623457.

Adding to 422303200 its reverse (2303224), we get a palindrome (424606424).

The spelling of 422303200 in words is "four hundred twenty-two million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 37 40 44 50 55 74 80 88 100 110 148 160 176 185 200 220 275 296 352 370 400 407 440 550 592 740 800 814 880 925 1100 1184 1297 1480 1628 1760 1850 2035 2200 2594 2960 3256 3700 4070 4400 5188 5920 6485 6512 7400 8140 8800 10175 10376 12970 13024 14267 14800 16280 20350 20752 25940 28534 29600 32425 32560 40700 41504 47989 51880 57068 64850 65120 71335 81400 95978 103760 114136 129700 142670 162800 191956 207520 228272 239945 259400 285340 325600 356675 383912 456544 479890 518800 527879 570680 713350 767824 959780 1037600 1055758 1141360 1199725 1426700 1535648 1919560 2111516 2282720 2399450 2639395 2853400 3839120 4223032 4798900 5278790 5706800 7678240 8446064 9597800 10557580 11413600 13196975 16892128 19195600 21115160 26393950 38391200 42230320 52787900 84460640 105575800 211151600 422303200